\(A=\left(1-\dfrac{1}{2014}\right).\left(1-\dfrac{2}{2014}\right).....\left(1-\dfrac{2014}{2014}\right).\left(1-\dfrac{2015}{2014}\right)\)\(=\left(1-\dfrac{1}{2014}\right)\left(1-\dfrac{2}{2014}\right).....0.\left(1-\dfrac{2015}{2014}\right)\)
= 0
Cho A = \(\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+...+\dfrac{1}{2016}\) ; B = \(\dfrac{2015}{1}+\dfrac{2014}{2}+...+\dfrac{2}{2014}+\dfrac{1}{2015}\)
Tính \(\dfrac{A}{B}\)
So sánh 2 p/số
\(A=\dfrac{2014^{2013}+1}{2014^{2014}+1};B=\dfrac{2014^{2012}+1}{2014^{2013}+1}\)
So sánh : \(\dfrac{2016^{2013}+1}{2016^{2014}+1}\) và \(\dfrac{2016^{2014}-2}{2016^{2015}-2}\)
[Phan Đức Gia Linh _ Xin cảm ơn những người đã quan tâm tới câu hỏi của mình!]
a) Cho:
A = 40 + \(\dfrac{3}{8}\) + \(\dfrac{7}{8^2}\) + \(\dfrac{5}{8^3}\) + \(\dfrac{32}{8^5}\)
B = \(\dfrac{24}{8^2}\) + 40 + \(\dfrac{5}{8^2}\) + \(\dfrac{40}{8^4}\) + \(\dfrac{5}{8^4}\)
Hãy so sánh A và B
b) So sánh \(\dfrac{2014^{2014}+1}{2014^{2015}+1}\) và \(\dfrac{2014^{2013}+1}{2014^{2014}+1}\)
Các bạn cố gắng giải đầy đủ nhất giúp mình. Cảm ơn rất nhiều!
Tìm x \(\in\) Z biết:
1) \(\dfrac{1-x}{2017}+\dfrac{2-x}{2016}=\dfrac{3-x}{2015}+\dfrac{4-x}{2014}\)
BT1: Tìm x \(\in\) Z biết:
1) \(\dfrac{1-x}{2017}+\dfrac{2-x}{2016}=\dfrac{3-x}{2015}+\dfrac{4-x}{2014}\)
Tính
P=\(\left(1-\dfrac{28}{10}\right)\left(1-\dfrac{52}{22}\right)\left(1-\dfrac{80}{36}\right)...\left(1-\dfrac{21808}{10900}\right)\)
Q=\(\dfrac{1+\dfrac{1}{2}+\dfrac{1}{3}+...+\dfrac{1}{2012}}{\dfrac{2013}{1}+\dfrac{2014}{2}+\dfrac{2015}{3}+...+\dfrac{4023}{2011}+\dfrac{4024}{2012}-2012}\)
Tìm x \(\in\) Z biết:
3) \(\dfrac{1-18x}{2017}+\dfrac{2-18x}{2016}=\dfrac{3-18x}{2015}+\dfrac{4-18x}{2014}\)
Tìm x \(\in\) Z biết:
2) \(\dfrac{1-2x}{2017}+\dfrac{2-2x}{2016}=\dfrac{3-2x}{2015}+\dfrac{4-2x}{2014}\)
